… two categories are equivalent as ribbon tensor categories (up … we can see that for any
logarithmic module M, the subspace ⨁ … Hence we have that every irreducible logarithmic module …

… -equivariantization by an affine algebraic group scheme is used to construct new classes of
modular tensor categories related to logarithmic conformal field theories in [GLO18, Neg21]. …

… some background material on the generalized Witt vectors WΓ(R). … )-module is a colimit of
W(R)/VmW(R)-modules, the tensor product of an R-module with a continuous W(Q)-module is …

… monoidal category (ie the monoidal unit is the terminal object) and †WV ! A is a strong symmetric
monoidal functor to an abelian category… Riemann surface of the logarithm (the universal …

… of finite information structures, and from there to an abelian category of modules as in [97]. …
in the category of small symmetric monoidal categories are taken to be lax symmetric …

… theory of the … modules in cell modules for TLn over arbitrary fields. This provides us with the
decomposition numbers for this algebra, as well as the dimensions of all simple modules. We …

… gauge theories. This means that we show equivalences of braided tensor categories of
modules of … product of two modules is defined as the universal object of logarithmic intertwining …

… called logarithmic, are defined in Section 4 where M is the module … the theorem on algebraic
logarithmic residua to a theorem on … We do not assume that the ring R and the module M are …

… More precisely, C should have the structure of a “modular” tensor category, satisfying … On
the VOA side, we will connect with representation theory of logarithmic VOA’s, notably the triplet …

… of our result is the conjectural logarithmic Kazhdan-Lusztig … category is a non-semisimple
modular tensor category. The … representation category is rarely a modular tensor category, …